[HTML][HTML] Direct limits in the heart of a t-structure: the case of a torsion pair

CE Parra, M Saorín - Journal of pure and applied algebra, 2015 - Elsevier
We study the behavior of direct limits in the heart of a t-structure. We prove that, for any
compactly generated t-structure in a triangulated category with coproducts, countable direct …

Classification of resolving subcategories and grade consistent functions

H Dao, R Takahashi - International Mathematics Research …, 2015 - ieeexplore.ieee.org
We classify certain resolving subcategories of finitely generated modules over a
commutative noetherian ring R by using integer-valued functions on SpecR. As an …